Abstract
The present study focused on an in-depth understanding of student motivation and self-regulated learning in mathematics and science through cluster analysis. It examined the different learning profiles of motivational beliefs and self-regulatory strategies in relation to perceived teacher autonomy support, basic psychological needs (i.e. autonomy, competence, and relatedness), motivational regulations, and academic achievement. Grounded in self-determination theory, this study examined the learning profiles of 782 students from eight secondary schools in Singapore. The cluster analyzes revealed four distinct learning profiles, and they were compared in association with perceived teacher autonomy support, needs satisfaction, motivational regulations, and grades. Cluster profiling enables teachers to have better understanding of their students’ self-regulated learning so that they can apply effective teaching strategies to foster their motivation. The findings offer a perspective to secondary students’ psychological needs along with some insights into their perceived task value and self-efficacy in the contexts of mathematics and science.
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Ahmed, W., van der Werf, G., Kuyper, H. & Minnaert, A. (2013). Emotions, self-regulated learning, and achievement in mathematics: A growth curve analysis. Journal of Educational Psychology, 105(1), 150–161.
Andersen, L. & Cross, T. L. (2014). Are students with high ability in math more motivated in math and science than other students? Roeper Review, 36(4), 221–234.
Barth, J., McCallum, D. M., Todd, B., Guadagno, R. E., Roskos, B., Burkhalter, C., & Goldston, M. J. (2011). Effects of engaging classroom strategies and teacher support on student outcomes over school transitions (Paper No. AC 2011-2446). Retrieved from American Society for Engineering Education Website: http://www.asee.org/.
Berg, C. A. R., Bergendahl, C. B., Lundberg, B. K. S. & Tibell, L. A. E. (2003). Benefiting from an open-ended experiment? A comparison of attitudes to, and outcomes of, an expository versus an open-inquiry version of the same experiment. International Journal of Science Education, 25(3), 351–372.
Berger, J. L. (2012). Uncovering vocational students’ multiple goal profiles in the learning of professional mathematics: Differences in learning strategies, motivational beliefs and cognitive abilities. Educational Psychology: An International Journal of Experimental Educational Psychology, 32(4), 405–425.
Berger, J. L. & Karabenick, S. A. (2011). Motivation and students’ use of learning strategies: Evidence of unidirectional effects in mathematics classrooms. Learning and Instruction, 21(3), 416–428.
Bong, M. (2005). Within-grade changes in Korean girls’ motivation and perceptions of the learning environment across domains and achievement levels. Journal of Educational Psychology, 97(4), 656–672.
Borgen, F. H. & Barnett, D. C. (1987). Applying cluster analysis in counseling psychology research. Journal of Counseling Psychology, 34(4), 456–468.
Chinn, C. A. & Malhotra, B. A. (2002). Epistemologically authentic inquiry in schools: A theoretical framework for evaluating inquiry tasks. Science Education, 86(2), 175–218.
Cleary, T. J. & Zimmerman, B. J. (2004). Self-regulation empowerment program: A school-based program to enhance self-regulated and self-motivated cycles of student learning. Psychology in the Schools, 41(5), 537–550.
Corno, L. & Rohrkemper, M. (1985). The intrinsic motivation to learn in classrooms. In C. Ames & R. Ames (Eds.), Research on motivation: The classroom milieu (Vol. 2, pp. 53–90). New York, NY: Academic.
Davis, H. A. (2003). Conceptualizing the role and influence of student–teacher relationships on children’s social and cognitive development. Educational Psychologist, 38(4), 207–234.
Deci, E. L. & Ryan, R. M. (1985). Intrinsic motivation and self-determination in human behavior. New York, NY: Plenum.
Deci, E. L. & Ryan, R. M. (2000). The “what” and “why” of goal pursuits: Human needs and the self-determination of behavior. Psychological Inquiry, 11(4), 227–268.
Deci, E. L., Vallerand, R. J., Pelletier, L. G., & Ryan, R. M. (1991). Motivation and education: The self-determination perspective. Educational Psychologist, 26(3–4), 325–346.
Duncan, T. G. & McKeachie, W. J. (2005). The making of the motivated strategies for learning questionnaire. Educational Psychologist, 40(2), 117–128.
Furtak, E. M. & Kunter, M. (2012). Effects of autonomy-supportive teaching on student learning and motivation. The Journal of Experimental Education, 80(3), 284–316.
Gagné, M. & Deci, E. L. (2005). Self‐determination theory and work motivation. Journal of Organizational Behavior, 26(4), 331–362.
Grice, J. W. & Iwasaki, M. (2007). A truly multivariate approach to MANOVA. Applied Multivariate Research, 12(3), 199–226.
Griggs, M. S., Rimm-Kaufman, S. E., Merritt, E. G., & Patton, C. L. (2013). The responsive classroom approach and fifth grade students’ math and science anxiety and self-efficacy. School Psychology Quarterly, 28(4), 360–373.
Hadwin, A. F., Winne, P. H., Stockley, D. B., Nesbit, J. C., & Woszczyna, C. (2001). Context moderates students’ self-reports about how they study. Journal of Educational Psychology, 93(3), 477–487.
Hargreaves, A. (2012). Singapore: The fourth way in action? Educational Research for Policy and Practice, 11(1), 7–17.
Hargreaves, A. & Shirley, D. (Eds.). (2009). The fourth way: The inspiring future for educational change. Thousand Oaks, CA: Sage.
Hayenga, A. O. & Corpus, J. H. (2010). Profiles of intrinsic and extrinsic motivations: A person-centered approach to motivation and achievement in middle school. Motivation and Emotion, 34(4), 371–383.
Hung, D., Ng, P. T., Koh, T. S., & Lim, S. H. (2009). The social practice of learning: A craft for the 21st century. Asia Pacific Education Review, 10(2), 205–214.
Jang, H., Kim, E. J., & Reeve, J. (2012). Longitudinal test of self-determination theory’s motivation mediation model in a naturally occurring classroom context. Journal of Educational Psychology, 104(4), 1175–1188.
Jang, H., Reeve, J., & Deci, E. L. (2010). Engaging students in learning activities: It is not autonomy support or structure but autonomy support and structure. Journal of Educational Psychology, 102(3), 588–600.
Jiang, Y. H., Yau, J., Bonner, P., & Chiang, L. (2011). The role of perceived parental autonomy support in academic achievement of Asian and Latino American adolescents. Electronic Journal of Research in Educational Psychology, 9(2), 497–522.
Kim, C., Park, S. W., & Cozart, J. (2013). Affective and motivational factors of learning in online mathematics courses. British Journal of Educational Technology, 35(2), 289–311.
Kim, M., Tan, A. L., & Talaue, F. T. (2013). New vision and challenges in inquiry-based curriculum change in Singapore. International Journal of Science Education, 35(2), 289–311.
Levesque, C., Zuehlke, A. N., Stanek, L. R., & Ryan, R. M. (2004). Autonomy and competence in German and American university students: A comparative study based on self-determination theory. Journal of Educational Psychology, 96(1), 68–84.
Liu, W. C., Wang, C. K. J., Kee, Y. H., Koh, C., Lim, B. S. C., & Chua, L. (2014). College students’ motivation and learning strategies profiles and academic achievement: A self-determination theory approach. Educational Psychology, 34(3), 338--353.
Malpass, J. R., O’Neil, H. F., & Hocevar, D., Jr. (1999). Self‐regulation, goal orientation, self‐efficacy, worry, and high‐stakes math achievement for mathematically gifted high school students. Roeper Review, 21(4), 281–288.
Mouratidis, A., Vansteenkiste, M., Lens, W., & Sideridis, G. (2008). The motivating role of positive feedback in sport and physical education: Evidence for a motivational model. Journal of Sport & Exercise Psychology, 30(2), 240–268.
Ng, P. T. (2010). The evolution and nature of school accountability in the Singapore education system. Educational Assessment, Evaluation and Accountability, 22(4), 275–292.
Pajares, F. & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24(2), 124–139.
Pintrich, P. R. (2000). An achievement goal theory perspective on issues in motivation terminology, theory, and research. Contemporary Educational Psychology, 25(1), 92–104.
Pintrich, P. R. (2004). A conceptual framework for assessing motivation and self-regulated learning in college students. Educational Psychology Review, 16(4), 385–407.
Pintrich, P. R. & De Groot, E. V. (1990). Motivational and self-regulated learning components of classroom academic performance. Journal of Educational Psychology, 82(1), 33–40.
Pintrich, P. R. & Garcia, T. (1991). Student goal orientation and self-regulation in the college classroom. Advances in Motivation and Achievement: Goals and Self-Regulatory Processes, 7, 371–402.
Pintrich, P. R., Smith, D. A., García, T., & McKeachie, W. J. (1993). Reliability and predictive validity of the motivated strategies for learning questionnaire (MSLQ). Educational and Psychological Measurement, 53(3), 801–813.
Plenty, S. & Heubeck, B. G. (2013). A multidimensional analysis of changes in mathematics motivation and engagement during high school. Educational Psychology, 33(1), 14–30.
Reeve, J. (2002). Self-determination theory applied to educational settings. In E. Deci & R. M. Ryan (Eds.), Handbook of self-determination research (pp. 183–203). Rochester, NY: University of Rochester Press.
Reeve, J. (2009). Why teachers adopt a controlling motivating style toward students and how they can become more autonomy supportive. Educational Psychologist, 44(3), 159–175.
Reeve, J., Jang, H., Carrell, D., Jeon, S., & Barch, J. (2004). Enhancing students’ engagement by increasing teachers’ autonomy support. Motivation and Emotion, 28(2), 147–169.
Richardson, J. T. (2011). Eta squared and partial eta squared as measures of effect size in educational research. Educational Research Review, 6(2), 135–147.
Roth, G., Assor, A., Kanat-Maymon, Y. & Kaplan, H. (2007). Autonomous motivation for teaching: How self-determined teaching may lead to self-determined learning. Journal of Educational Psychology, 99(4), 761–774.
Ryan, R. M. & Connell, J. P. (1989). Perceived locus of causality and internalization: Examining reasons for acting in two domains. Journal of Personality and Social Psychology, 57(5), 749–761.
Ryan, R. M., Connell, J. P., & Deci, E. L. (1985). A motivational analysis of self-determination and self-regulation in education. In C. Ames & R. E. Ames (Eds.), Research on motivation in education: The classroom milieu (pp. 13–51). New York, NY: Academic.
Ryan, R. M. & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55(1), 68–78.
Ryan, R. M. & Niemiec, C. P. (2009). Self-determination theory in schools of education: Can an empirically supported framework also be critical and liberating? Theory and Research in Education, 7(2), 263–272.
Schlomer, G. L., Bauman, S., & Card, N. A. (2010). Best practices for missing data management in counseling psychology. Journal of Counseling Psychology, 57(1), 1–10.
Shivpuri, S., Schmitt, N., Oswald, F. L. & Kim, B. H. (2006). Individual differences in academic growth: Do they exist, and can we predict them? Journal of College Student Development, 47(1), 69–86.
Sierens, E., Vansteenkiste, M., Goossens, L., Soenens, B., & Dochy, F. (2009). The synergistic relationship of perceived autonomy support and structure in the prediction of self‐regulated learning. British Journal of Educational Psychology, 79(1), 57–68.
Soenens, B. & Vansteenkiste, M. (2005). Antecedents and outcomes of self-determination in 3 life domains: The role of parents’ and teachers’ autonomy support. Journal of Youth and Adolescence, 34(6), 589–604.
Stefanou, C. R., Perencevich, K. C., DiCintio, M., & Turner, J. C. (2004). Supporting autonomy in the classroom: Ways teachers encourage student decision making and ownership. Educational Psychologist, 39(2), 97–110.
Suárez Riveiro, J. M., Cabanach, R. G., & Arias, A. V. (2001). Multiple‐goal pursuit and its relation to cognitive, self‐regulatory, and motivational strategies. British Journal of Educational Psychology, 71(4), 561–572.
Tabachnick, B. G. & Fidell, L. S. (2007). Multivariate analysis of variance and covariance. Using multivariate statistics. Boston, MA: Allyn & Bacon.
Taboada, A., Kidd, J. K., & Tonks, S. M. (2010). English language learners’ perceptions of autonomy support in a literacy classroom. Research in the Schools, 17(2), 39–53.
Tang, M. & Neber, H. (2008). Motivation and self‐regulated science learning in high‐achieving students: Differences related to nation, gender, and grade‐level. High Ability Studies, 19(2), 103–116.
Tessier, D., Sarrazin, P., & Ntoumanis, N. (2010). The effect of an intervention to improve newly qualified teachers’ interpersonal style, students’ motivation and psychological need satisfaction in sport-based physical education. Contemporary Educational Psychology, 35(4), 242–253.
Vansteenkiste, M., Sierens, E., Soenens, B., Luyckx, K., & Lens, W. (2009). Motivational profiles from a self-determination perspective: The quality of motivation matters. Journal of Educational Psychology, 101(3), 671–688.
Vedder‐Weiss, D. & Fortus, D. (2012). Adolescents’ declining motivation to learn science: A follow‐up study. Journal of Research in Science Teaching, 49(9), 1057–1095.
von Eye, A. & Bogat, G. A. (2006). Person-oriented and variable-oriented research: Concepts, results, and development. Merrill-Palmer Quarterly, 52(3), 390–420.
Wang, C. K. J., & Biddle, S. J. (2001). Young people’s motivational profiles in physical activity: A cluster analysis. Journal of Sport & Exercise Psychology, 23, 1--22.
Williams, G. C. & Deci, E. L. (1996). Internalization of biopsychosocial values by medical students: A test of self-determination theory. Journal of Personality and Social Psychology, 70(4), 767–779.
Woods-McConney, A., Oliver, M. C., McConney, A., Maor, D. & Schibeci, R. (2013). Science engagement and literacy: A retrospective analysis for indigenous and non-indigenous students in Aotearoa New Zealand and Australia. Research in Science Education, 43(1), 233–252.
Yin, H., Lee, J. C. K. & Zhang, Z. (2009). Examining Hong Kong students’ motivational beliefs, strategy use and their relations with two relational factors in classrooms. Educational Psychology: An International Journal of Experimental Educational Psychology, 29(6), 685–700.
Yoon, C.-H. (2009). Self-Regulated learning and instructional factors in the scientific inquiry of scientifically gifted Korean middle school students. Gifted Child Quarterly, 53(30), 203–216.
Zeidner, M. (1995). Coping with examination stress: Resources, strategies, outcomes. Anxiety, Stress, and Coping, 8(4), 279–298.
Zimmerman, B. J. & Schunk, D. H. (2008). An essential dimension of self-regulated learning. Motivation and self-regulated learning: Theory, research, & applications. New York, NY: Taylor & Francis.
Zusho, A., Pintrich, P. R., & Coppola, B. (2003). Skill and will: The role of motivation and cognition in the learning of college chemistry. International Journal of Science Education, 25(9), 1081–1094.
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Ng, B.L.L., Liu, W.C. & Wang, J.C.K. Student Motivation and Learning in Mathematics and Science: A Cluster Analysis. Int J of Sci and Math Educ 14, 1359–1376 (2016). https://doi.org/10.1007/s10763-015-9654-1
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DOI: https://doi.org/10.1007/s10763-015-9654-1